Answer:
the greatest common factor for 30x2 and 45x5 is 15x2.
Explanation:
The greatest common factor (GCF) of two expressions is the largest expression that is a factor of both expressions. To find the GCF of 30x2 and 45x5, we can use the following steps:
Prime factorize each expression:
30x2 = 235xx
45x5 = 335xxxx*x
Find the common factors of the two expressions:
Common factors: 35x*x
Multiply the common factors together to find the GCF:
GCF = 15x2
Therefore, the greatest common factor for 30x2 and 45x5 is 15x2.